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X(4), X(12), X(37), X(55), X(71), X(72), X(209), X(1824), X(1826), X(2911), X(3690), X(15443)

vertices of the orthic triangle

points of pK(X6, X) on the line at infinity, see below

points of pK(X6, Y) on the circumcircle, see below

Geometric properties :

K1187 is a member of CL019 and the isogonal transform of pK(X593, X593 รท X3), a member of CL074.

K1187 is the isogonal pK having for pivot X(3690) with respect to the orthic triangle.

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X = a (a^3 b^2-a b^4+a^3 b c+a^2 b^2 c-a b^3 c-b^4 c+a^3 c^2+a^2 b c^2+a b^2 c^2+b^3 c^2-a b c^3+b^2 c^3-a c^4-b c^4) : : on the lines {X7,X2979}, {X27,X3187}, SEARCH = -3.05141971415110.

Y = 2 a^6+2 a^5 b-a^4 b^2-2 a b^5-b^6+2 a^5 c-2 a^4 b c-2 a^3 b^2 c+2 a^2 b^3 c-a^4 c^2-2 a^3 b c^2+2 a^2 b^2 c^2+2 a b^3 c^2+b^4 c^2+2 a^2 b c^3+2 a b^2 c^3+b^2 c^4-2 a c^5-c^6 : : , SEARCH = -2.49138428751413.